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Finding the Fourth Proportional to 6,967.30, 10,456 and 2,585.38

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Solution

The fourth proportional to 6,967.30, 10,456 and 2,585.38 is: 3,879.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.30 : 10,456 = 2,585.38 : x
  2. Step 2: Convert to fraction form
    6,967.30/10,456 = 2,585.38/x
  3. Step 3: Cross multiply
    6,967.30x = 10,456 × 2,585.38
  4. Step 4: Simplify right side
    6,967.30x = 27,032,733.28
  5. Step 5: Solve for x
    x = 27,032,733.28/6,967.30
  6. Step 6: Final answer
    x = 3,879.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.